GCF of 4464/661, 8788/9366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4464/661, 8788/9366 i.e 4/6190926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4464/661, 8788/9366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4464/661,8788/9366?
Given fractions are 4464/661,8788/9366
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4464/661,8788/9366, numerators are 4464,8788
Denominators are 661,9366
The GCF of 4464,8788 is 4 .
LCM of 661,9366 is 6190926.
The greatest common factor of 4464/661,8788/9366 = [GCF of 4464,8788]/[LCM of 661,9366]= 4/6190926
Therefore, the GCF of 4464/661,8788/9366 is 4/6190926.
To find the highest common factor of 4464,8788, we have to find the factors of both numbers and list the highest common factor.
The factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464
The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788
The HCF of 4464,8788 is 4.
Lets's calculate GCF of 4464,8788
| 2 | 4464, 8788 |
| 2 | 2232, 4394 |
| 1116, 2197 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4464,8788 By Matching Biggest Common Factor Method
Now, list down the factors of 4464
:1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464
Now, list down the factors of 8788
:1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors 4464,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 4464,8788 is 4.
Lets's calculate LCM of 661,9366
Given numbers has no common factors except 1. So, there LCM is their product i.e 6190926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6190926
Therefore, the GCF of Fractions 4464/661,8788/9366 is 4/6190926
Least Common Multiple of 661,9366 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 661,9366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,9366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,9366) x common factors =1 x 1 = 1
LCM(661,9366) = ( 661 × 9366 ) / 1
LCM(661,9366) = 6190926 / 1
LCM(661,9366) = 6190926
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FAQs on GCF of Fractions of 4464/661, 8788/9366
1. What is the HCF of 4464,8788?
The HCF of 4464,8788 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4464/661, 8788/9366?
Answer: GCF of Numerators as per given numbers 4464/661, 8788/9366 is
GCF of Numerators i.e. for 4464,8788 is 4
LCM of denominators i.e. for 661,9366 is 6190926.
Thus, GCF of Fractions is 4/6190926.Finally, GCF of Fractions for 4464/661, 8788/9366 is 4/6190926.